Face number inequalities for matroid complexes and Cohen-Macaulay types of Stanley-Reisner rings of distributive lattices

Takayuki Hibi
1992 Pacific Journal of Mathematics  
We discuss two topics related with combinatorial study of canonical modules of Stanley-Reisner rings, viz., (i) some linear inequalities on the number of faces of a matroid complex and (ii) a formula to compute the Cohen-Macaulay type of the Stanley-Reisner ring of a finite distributive lattice.
doi:10.2140/pjm.1992.154.253 fatcat:7dbw2cdeendd3cqdr2gixgrlke